-3left(2-xright)+3left(x+6right)=10-4left(6+4xright) eching

$$-3 \left( 2-x \right) +3 \left( x+6 \right) = 10-4 \left( 6+4x \right)$$

x uchun yechish

$$x = -\frac{13}{11} = -1\frac{2}{11} \approx -1,181818182$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-3 ga 2-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-6+3x+3\left(x+6\right)=10-4\left(6+4x\right)$$

3 ga x+6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-6+3x+3x+18=10-4\left(6+4x\right)$$

6x ni olish uchun 3x va 3x ni birlashtirish.

$$-6+6x+18=10-4\left(6+4x\right)$$

12 olish uchun -6 va 18'ni qo'shing.

$$12+6x=10-4\left(6+4x\right)$$

-4 ga 6+4x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$12+6x=10-24-16x$$

-14 olish uchun 10 dan 24 ni ayirish.

$$12+6x=-14-16x$$

16x ni ikki tarafga qo’shing.

$$12+6x+16x=-14$$

22x ni olish uchun 6x va 16x ni birlashtirish.

$$12+22x=-14$$

Ikkala tarafdan 12 ni ayirish.

$$22x=-14-12$$

-26 olish uchun -14 dan 12 ni ayirish.

$$22x=-26$$

Ikki tarafini 22 ga bo‘ling.

$$x=\frac{-26}{22}$$

\frac{-26}{22} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{13}{11}$$